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Simplifying 8(x + -9) = 6(x + -1) + -4x Reorder the terms: 8(-9 + x) = 6(x + -1) + -4x (-9 * 8 + x * 8) = 6(x + -1) + -4x (-72 + 8x) = 6(x + -1) + -4x Reorder the terms: -72 + 8x = 6(-1 + x) + -4x -72 + 8x = (-1 * 6 + x * 6) + -4x -72 + 8x = (-6 + 6x) + -4x Combine like terms: 6x + -4x = 2x -72 + 8x = -6 + 2x Solving -72 + 8x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -72 + 8x + -2x = -6 + 2x + -2x Combine like terms: 8x + -2x = 6x -72 + 6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -72 + 6x = -6 + 0 -72 + 6x = -6 Add '72' to each side of the equation. -72 + 72 + 6x = -6 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = -6 + 72 6x = -6 + 72 Combine like terms: -6 + 72 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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